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STEP Support Programme

Coordinate geometry

04-S1-Q6

Intersections, midpoint, line, right angle, C1.

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[STEP I 2004 Question 6 (Pure)]

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03-S3-Q7

Feet of the perpendicular, geometrical interpretation, collinear.

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[STEP III 2003 Question 7 (Pure)]

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01-S3-Q6

Ellipsoid, plane, orthocentre, circumcentre, triangle, centroid, triangle, line segment, ratio.

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[STEP III 2001 Question 6 (Pure)]

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99-S1-Q2

Sum of squares, centroid, C1

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[STEP I 1999 Question 2 (Pure)]

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94-S2-Q7

Ruritanian Infantry division, flagpoles, cartesian equations, straight lines, C1.

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[STEP II 1994 Question 7 (Pure)]

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93-S3-Q8

Square pyramid, vectors, quadrilateral, parallelogram.

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[STEP III 1993 Question 8 (Pure)]

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91-S3-Q4

3-dimensional space, position vector, equation of path.

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[STEP III 1991 Question 4 (Pure)]

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90-S3-Q2

3-dimensional space, line, intersection, angle, C1.

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[STEP III 1990 Question 2 (Pure)]

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90-S1-Q9

Curve, intersection, projection, area of quadrilaterals, inequality, C1.

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[STEP I 1990 Question 9 (Pure)]

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89-S3-Q2

Coal seam, inclined plane, bearing, trigonometry, bore hole.

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[STEP III 1989 Question 2 (Pure)]

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Useful Links

Underground Mathematics: Selected worked STEP questions

STEP Question database

University of Cambridge Mathematics Faculty: What do we look for?

University of Cambridge Mathematics Faculty: Information about STEP

University of Cambridge Admissions Office: Undergraduate course information for Mathematics

Stephen Siklos' "Advanced Problems in Mathematics" book (external link)

MEI: Worked solutions to STEP questions (external link)

OCR: Exam board information about STEP (external link)

AMSP (Advanced Maths Support programme): Support for University Admission Tests (external link)